The vector \(B^\ast _c\)  meson physics has attracted theorists from all over
the world since 1994. First attempt to study \(B_c^\ast \)  meson
was made in the framework of nonrelativistic quarkonium quantum
mechanics by using the QCD-motivated potential [1]}.
It was found that \(\Gamma (B_c^{\ast \,+}\rightarrow B_c^+\gamma ) = 135\)  eV.
Later on the authors updated this study and published the new
work [2]}.
